simpleyfie question solve it for me

Question

2x² + 13x +15      ×           4x² - 1

______________             _________________

      4x² - 9                        2x² + 11x + 5     

Answer 1

step 1:  factor each expression

                 (x + 5)(2x+3)/(2x-3)(2x+3)   x  (2x-1)(2x+1)/(x + 5)(2x+1)

step 2:  rewrite as

                 (x+5)(2x+3)(2x-1)(2x+11)

                (2x-3)(2x+3)(x+5)(2x+1)

step 3:  cancel out like binomials

you should get (2x-1)/2x-3)

Answer 2

All of the terms can be factored:

• 2x²+13x+15 = (2x+3)(x+5)
• 4x²-9 = (2x+3)(2x-3)
• 4x²-1 = (2x+1)(2x-1)
• 2x²+11x+5 = (2x+1)(x+5)

 

When you put the problem in factored form, you can cancel terms and simplify:

 

 (2x+3) (x+5)        (2x+1)(2x-1)          (2x-1)

------------------ * -------------------  =  --------------,  for all x except x = -5, -3/2, -1/2, 3/2

(2x+3)(2x-3)        (2x+1) (x+5)           (2x-3)